105688152 has 80 divisors (see below), whose sum is σ = 302988840. Its totient is φ = 34401024.

The previous prime is 105688129. The next prime is 105688153. The reversal of 105688152 is 251886501.

105688152 is a `hidden beast` number, since 10 + 568 + 81 + 5 + 2 = 666.

It is a super-2 number, since 2×105688152² = 22339970946350208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105688153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25968 + ... + 29760.

Almost surely, 2^105688152 is an apocalyptic number.

105688152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105688152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151494420).

105688152 is an abundant number, since it is smaller than the sum of its proper divisors (197300688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105688152 is a wasteful number, since it uses less digits than its factorization.

105688152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 105688152 is about 10280.4743081241. The cubic root of 105688152 is about 472.7977865855.

The spelling of 105688152 in words is "one hundred five million, six hundred eighty-eight thousand, one hundred fifty-two".